Solution:
Given that,
[tex]\text{ slope of line } =\frac{3}{4}[/tex]
A different line passes through the points (6, 3) & (-1, 5)
Find the slope of this line
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From given,
[tex](x_1, y_1) = (6, 3)\\\\(x_2, y_2) = (-1, 5)[/tex]
Substituting we get,
[tex]m = \frac{5-3}{-1-6}\\\\m = \frac{2}{-7}[/tex]
For two lines are parallel, then their slopes must be equal
But here,
[tex]\frac{3}{4} \neq \frac{-2}{7}[/tex]
Therefore, They are not parallel because their slopes are not equal
